TSTP Solution File: PLA017-10 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 13:37:43 EDT 2024

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   33 (  33 unt;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-4 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4305,plain,
    $false,
    inference(subsumption_resolution,[],[f4304,f35]) ).

fof(f35,plain,
    ! [X4] : true != sF1(X4),
    inference(definition_folding,[],[f32,f34,f33]) ).

fof(f33,plain,
    on(a,c) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f34,plain,
    ! [X4] : holds(sF0,X4) = sF1(X4),
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f32,axiom,
    ! [X4] : true != holds(on(a,c),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4304,plain,
    true = sF1(do(putdown(a,c),do(pickup(a),s0))),
    inference(forward_demodulation,[],[f4303,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4303,plain,
    true = ifeq(true,true,sF1(do(putdown(a,c),do(pickup(a),s0))),true),
    inference(backward_demodulation,[],[f4248,f4302]) ).

fof(f4302,plain,
    true = holds(holding(a),do(pickup(a),s0)),
    inference(forward_demodulation,[],[f4301,f1]) ).

fof(f4301,plain,
    true = ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),
    inference(forward_demodulation,[],[f4300,f27]) ).

fof(f27,axiom,
    true = holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4300,plain,
    true = ifeq(holds(clear(a),s0),true,holds(holding(a),do(pickup(a),s0)),true),
    inference(forward_demodulation,[],[f4295,f1]) ).

fof(f4295,plain,
    true = ifeq(true,true,ifeq(holds(clear(a),s0),true,holds(holding(a),do(pickup(a),s0)),true),true),
    inference(superposition,[],[f297,f30]) ).

fof(f30,axiom,
    true = holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f297,plain,
    ! [X0] : true = ifeq(holds(empty,X0),true,ifeq(holds(clear(a),X0),true,holds(holding(a),do(pickup(a),X0)),true),true),
    inference(forward_demodulation,[],[f291,f1]) ).

fof(f291,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(empty,X0),true,ifeq(holds(clear(a),X0),true,holds(holding(a),do(pickup(a),X0)),true),true),true),
    inference(superposition,[],[f3,f16]) ).

fof(f16,axiom,
    true = differ(a,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f3,axiom,
    ! [X4,X5] : true = ifeq(differ(X5,table),true,ifeq(holds(empty,X4),true,ifeq(holds(clear(X5),X4),true,holds(holding(X5),do(pickup(X5),X4)),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f4248,plain,
    true = ifeq(holds(holding(a),do(pickup(a),s0)),true,sF1(do(putdown(a,c),do(pickup(a),s0))),true),
    inference(forward_demodulation,[],[f4243,f1]) ).

fof(f4243,plain,
    true = ifeq(holds(holding(a),do(pickup(a),s0)),true,ifeq(true,true,sF1(do(putdown(a,c),do(pickup(a),s0))),true),true),
    inference(superposition,[],[f288,f1614]) ).

fof(f1614,plain,
    true = holds(clear(c),do(pickup(a),s0)),
    inference(forward_demodulation,[],[f1610,f1]) ).

fof(f1610,plain,
    true = ifeq(true,true,holds(clear(c),do(pickup(a),s0)),true),
    inference(superposition,[],[f159,f58]) ).

fof(f58,plain,
    true = differ(c,a),
    inference(forward_demodulation,[],[f38,f1]) ).

fof(f38,plain,
    true = ifeq(true,true,differ(c,a),true),
    inference(superposition,[],[f12,f14]) ).

fof(f14,axiom,
    true = differ(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f12,axiom,
    ! [X3,X5] : true = ifeq(differ(X3,X5),true,differ(X5,X3),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f159,plain,
    ! [X0] : true = ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true),
    inference(forward_demodulation,[],[f140,f1]) ).

fof(f140,plain,
    ! [X0] : true = ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true),
    inference(superposition,[],[f6,f29]) ).

fof(f29,axiom,
    true = holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6,axiom,
    ! [X6,X4,X5] : true = ifeq(differ(X5,X6),true,ifeq(holds(clear(X5),X4),true,holds(clear(X5),do(pickup(X6),X4)),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f288,plain,
    ! [X0] : true = ifeq(holds(holding(a),X0),true,ifeq(holds(clear(c),X0),true,sF1(do(putdown(a,c),X0)),true),true),
    inference(forward_demodulation,[],[f283,f34]) ).

fof(f283,plain,
    ! [X0] : true = ifeq(holds(holding(a),X0),true,ifeq(holds(clear(c),X0),true,holds(sF0,do(putdown(a,c),X0)),true),true),
    inference(superposition,[],[f8,f33]) ).

fof(f8,axiom,
    ! [X3,X4,X5] : true = ifeq(holds(holding(X5),X4),true,ifeq(holds(clear(X3),X4),true,holds(on(X5,X3),do(putdown(X5,X3),X4)),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Jun 18 17:15:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9784)lrs+10_1:64_drc=encompass:sil=2000:i=105:plsq=on:ss=axioms_0 on theBenchmark for (2999ds/105Mi)
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9786)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=150:ins=1:dpc=on:rawr=on_0 on theBenchmark for (2999ds/150Mi)
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9785)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=126:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2999ds/126Mi)
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9782)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=116130:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (2999ds/116130Mi)
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9787)lrs+10_1:8_drc=encompass:sil=16000:tgt=ground:i=123:bd=preordered:ss=axioms_0 on theBenchmark for (2999ds/123Mi)
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9788)lrs+10_1:1_drc=encompass:sil=4000:i=209:ss=axioms:sgt=8:sp=occurrence_0 on theBenchmark for (2999ds/209Mi)
% 0.20/0.41  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9783)dis+10_5:2_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:sos=all:i=207332:bd=off:fsr=off:dpc=on_0 on theBenchmark for (2999ds/207332Mi)
% 0.20/0.41  % (9784)Refutation not found, incomplete strategy% (9784)------------------------------
% 0.20/0.41  % (9784)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.41  % (9784)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.41  % (9784)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41  
% 0.20/0.41  % (9784)Memory used [KB]: 828
% 0.20/0.41  % (9784)Time elapsed: 0.005 s
% 0.20/0.41  % (9787)Refutation not found, incomplete strategy% (9787)------------------------------
% 0.20/0.41  % (9787)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.41  % (9787)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.41  % (9784)Instructions burned: 4 (million)
% 0.20/0.41  % (9787)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41  
% 0.20/0.41  % (9787)Memory used [KB]: 830
% 0.20/0.41  % (9787)Time elapsed: 0.005 s
% 0.20/0.41  % (9787)Instructions burned: 4 (million)
% 0.20/0.41  % (9784)------------------------------
% 0.20/0.41  % (9784)------------------------------
% 0.20/0.41  % (9787)------------------------------
% 0.20/0.41  % (9787)------------------------------
% 0.20/0.42  % (9783)Refutation not found, incomplete strategy% (9783)------------------------------
% 0.20/0.42  % (9783)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42  % (9783)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42  % (9783)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42  
% 0.20/0.42  % (9783)Memory used [KB]: 833
% 0.20/0.42  % (9783)Time elapsed: 0.005 s
% 0.20/0.42  % (9783)Instructions burned: 5 (million)
% 0.20/0.42  % (9783)------------------------------
% 0.20/0.42  % (9783)------------------------------
% 0.20/0.47  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (9791)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=454:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2999ds/454Mi)
% 0.20/0.47  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (9789)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=192:s2at=2.0_0 on theBenchmark for (2999ds/192Mi)
% 0.20/0.47  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47  % (9792)lrs+10_1:2_sil=2000:tgt=ground:spb=goal:i=359:kws=precedence:irc=eager_0 on theBenchmark for (2999ds/359Mi)
% 0.20/0.47  % (9786)Instruction limit reached!
% 0.20/0.47  % (9786)------------------------------
% 0.20/0.47  % (9786)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (9786)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (9786)Termination reason: Time limit
% 0.20/0.47  % (9786)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (9786)Memory used [KB]: 3238
% 0.20/0.47  % (9786)Time elapsed: 0.064 s
% 0.20/0.47  % (9786)Instructions burned: 150 (million)
% 0.20/0.47  % (9785)Instruction limit reached!
% 0.20/0.47  % (9785)------------------------------
% 0.20/0.47  % (9785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (9785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (9785)Termination reason: Time limit
% 0.20/0.47  % (9785)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (9785)Memory used [KB]: 2806
% 0.20/0.47  % (9785)Time elapsed: 0.065 s
% 0.20/0.47  % (9785)Instructions burned: 128 (million)
% 0.20/0.49  % (9788)Instruction limit reached!
% 0.20/0.49  % (9788)------------------------------
% 0.20/0.49  % (9788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49  % (9788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49  % (9788)Termination reason: Time limit
% 0.20/0.50  % (9788)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (9788)Memory used [KB]: 3758
% 0.20/0.50  % (9788)Time elapsed: 0.086 s
% 0.20/0.50  % (9788)Instructions burned: 211 (million)
% 0.20/0.51  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (9793)lrs+10_1:1_sil=4000:sp=occurrence:i=163:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2998ds/163Mi)
% 0.20/0.51  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (9794)lrs+10_1:1024_drc=encompass:sil=4000:tgt=full:i=1030:kws=inv_frequency:awrs=converge_0 on theBenchmark for (2998ds/1030Mi)
% 0.20/0.53  % (9789)Instruction limit reached!
% 0.20/0.53  % (9789)------------------------------
% 0.20/0.53  % (9789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53  % (9789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53  % (9789)Termination reason: Time limit
% 0.20/0.53  % (9789)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (9789)Memory used [KB]: 3488
% 0.20/0.53  % (9789)Time elapsed: 0.086 s
% 0.20/0.53  % (9789)Instructions burned: 193 (million)
% 0.20/0.53  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53  % (9795)lrs+10_3:1_sil=4000:tgt=ground:i=631:kws=frequency:bd=off:drc=encompass:irc=lazy_0 on theBenchmark for (2998ds/631Mi)
% 0.20/0.54  % (9782)First to succeed.
% 0.20/0.54  % (9782)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9781"
% 0.20/0.54  % (9781)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.54  % (9782)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (9782)------------------------------
% 0.20/0.54  % (9782)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.54  % (9782)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.54  % (9782)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (9782)Memory used [KB]: 5060
% 0.20/0.54  % (9782)Time elapsed: 0.126 s
% 0.20/0.54  % (9782)Instructions burned: 316 (million)
% 0.20/0.54  % (9782)------------------------------
% 0.20/0.54  % (9782)------------------------------
% 0.20/0.54  % (9781)Success in time 0.19 s
%------------------------------------------------------------------------------